| n-Lie代数的分解及唯一性 |
| |
| 引用本文： | 白瑞蒲,孟道骥.n-Lie代数的分解及唯一性[J].数学年刊A辑(中文版),2004(2). |
| |
| 作者姓名： | 白瑞蒲 孟道骥 |
| |
| 作者单位： | 河北大学数学系，南开大学数学系 河北 保定 071002，南开大学数学系，天津 300071，天津 300071 |
| |
| 摘 要： | 本文研究具有平凡中心的有限维的n-Lie代数的分解及唯一性问题(定理2.2),而且证明了具有非平凡中心的n-Lie代数结论不成立.同时研究了n-Lie代数的导子代数及内导子代数的分解问题(定理2.1).
|
| 关 键 词： | n-Lie代数 分解 不可分解性 导子 |
THE DECOMPOSITION OF n-LIE ALGEBRAS AND UNIQUENESS |
| |
| BAI Ruipu MENG Daoji.THE DECOMPOSITION OF n-LIE ALGEBRAS AND UNIQUENESS[J].Chinese Annals of Mathematics,2004(2). |
| |
| Authors: | BAI Ruipu MENG Daoji |
| |
| Institution: | BAI Ruipu MENG Daoji
Department of Mathematics,Hebei University,Baoding 071002,Hebei,China, Department of Mathematics,Nankai University,Tianjin 300071,China.
Department of Mathematics,Nankai University,Tianjin 300071,China. |
| |
| Abstract: | In this paper, the authors consider the decomposition of finite dimensional n-Lie algebras with trivial center and uniqueness (Theorem 2.2), and show that the result is false for n-Lie algebras with non-trivial center. They also obtain the decomposition of the inner derivation algebras and derivation algebras respectively according to the decomposition of n-Lie algebras (Theorem 2.1). |
| |
| Keywords: | n-Lie algebra Decomposition Indecomposable Derivation |
| 本文献已被 CNKI 等数据库收录！ |
|
